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Finding the Third Proportional to 113,655 and 170,483

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Solution

The third proportional to 113,655 and 170,483 is: 255,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,655 : 170,483 = 170,483 : x
  2. Step 2: Convert to fraction form
    113,655/170,483 = 170,483/x
  3. Step 3: Cross multiply
    113,655x = 170,483 × 170,483
  4. Step 4: Simplify right side
    113,655x = 29,064,453,289
  5. Step 5: Solve for x
    x = 29,064,453,289/113,655
  6. Step 6: Final answer
    x = 255,725.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.